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Finding the Fourth Proportional to 451.52, 677.70 and 426.86

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Solution

The fourth proportional to 451.52, 677.70 and 426.86 is: 640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 677.70 = 426.86 : x
  2. Step 2: Convert to fraction form
    451.52/677.70 = 426.86/x
  3. Step 3: Cross multiply
    451.52x = 677.70 × 426.86
  4. Step 4: Simplify right side
    451.52x = 289,283.02
  5. Step 5: Solve for x
    x = 289,283.02/451.52
  6. Step 6: Final answer
    x = 640.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.